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dusya [7]
3 years ago
12

Examine the system of equations -3x+y=4, -9x+5y=-1 what is the solution

Mathematics
2 answers:
serious [3.7K]3 years ago
5 0
Answer: x=-7/2 y=29/2


Steps:

Use the elimination method


Multiply -3x+y=4 by 5 to make the coefficient next to the y in both equations the same

5(-3x+y=4)

-15x+5y=20


Then, subtract to eliminate the y

-15x+5y=20
- -9x+5y=-1

= -6x=21
Divide both sides by -6 to isolate x

= x= -7/2


Next substitute -7/2 into x in one of the equations

-3(-7/2)+y=4

-21/2+y=4

Add 21/2 from both sides to isolate y

y=29/2
Evgesh-ka [11]3 years ago
3 0

Answer:

sorry i know im late but here

Step-by-step explanation:

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3 years ago
If it takes 100 g of sugar to make five cupcakes how many grams of sugar let me take to make 15 cupcakes
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Answer:

300 g of sugar

Step-by-step explanation:

15 divided by 5 is 3 so 3 x 100 is 300. Hope this helps! :)

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Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros vei
vlada-n [284]

Answer:

1330.808 euros

Step-by-step explanation:

Let's first calculate the total amount of kilograms,

for the first 60, we have to:

50 kg

4 hg = 0.5 kg

60 dag = 0.6

5 g = 0.005 kg

adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60

51.105 * 60 = 3066.3

now for the other 20:

53 kg

2 hg = 0.2 kg

16 dag = 0.16

5 g = 0.005

adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20

53,365 * 20 = 1067.3

in total it would be: 3066.3 + 1067.3 = 4133.6

they tell us that 1/5 is the quantity in liters:

4133.6 * 1/5 = 826.72 liters

so to calculate the earnings it would be:

2.65 * 826.72 - 860 = 1330.808

which means that in net earnings are 1330.808 euross

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A motorboat travels 60 km in 4 hours with the current and 35 km in 3.5 hours against the current. Find the speed of the boat in
IceJOKER [234]

Step-by-step explanation:

Distance = rate × time

If b is the speed of the boat in still water, and c is the speed of the current, then:

60 = (b + c) × 4

35 = (b − c) × 3.5

Simplifying:

15 = b + c

10 = b − c

Add the equations together:

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Plug into either equation to find c:

c = 2.5

The speed of the boat is 12.5 km/h, and the speed of the current is 2.5 km/h.

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